Question : While going to the office, Sneha travels at a speed of 10 km/hr and on her way back, she travels at a speed of 15 km/hr. What is her average speed for the whole journey?
Option 1: 14 km/hr
Option 2: 12 km/hr
Option 3: 11 km/hr
Option 4: 13 km/hr
Correct Answer: 12 km/hr
Solution :
Sneha travels while going to the office at a speed = S1= 10 km/hr
Sneha travels on her way back at a speed = S2 = 15 km/hr
Average Speed
= $\frac{2\text{S1S2}}{(\text{S1} + \text{S2})}$
= $\frac{(2 × 10 × 15)}{(10 + 15)}$
= $\frac{(2 × 10 × 15)}{(25)}$
= 12 km/hr
Hence, the correct answer is 12 km/hr.
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